107187406260000 has 480 divisors, whose sum is σ = 383933162910528. Its totient is φ = 25959505920000.

The previous prime is 107187406259971. The next prime is 107187406260007. The reversal of 107187406260000 is 62604781701.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×107187406260000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (107187406260007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 681701392 + ... + 681858608.

Almost surely, 2^{107187406260000} is an apocalyptic number.

107187406260000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107187406260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191966581455264).

107187406260000 is an abundant number, since it is smaller than the sum of its proper divisors (276745756650528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107187406260000 is a wasteful number, since it uses less digits than its factorization.

107187406260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158294 (or 158271 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 107187406260000 in words is "one hundred seven trillion, one hundred eighty-seven billion, four hundred six million, two hundred sixty thousand".